Metric Spaces as Topological Spaces --- Fundamental Concepts

Journal of Formalized Mathematics
Volume 3, 1991
University of Bialystok
Copyright (c) 1991 Association of Mizar Users

Metric Spaces as Topological Spaces --- Fundamental Concepts

Agata Darmochwal: Warsaw University, Bialystok
The article was written during my work at Shinshu University, 1991.
Yatsuka Nakamura: Shinshu University, Nagano

Summary.

Some notions connected with metric spaces and the relationship between metric spaces and topological spaces. Compactness of topological spaces is transferred for the case of metric spaces [13]. Some basic theorems about translations of topological notions for metric spaces are proved. One-dimensional topological space ${\Bbb R^1}$ is introduced, too.

MML Identifier: TOPMETR

The terminology and notation used in this paper have been introduced in the following articles [18] [7] [21] [1] [20] [11] [22] [4] [6] [5] [9] [3] [12] [15] [8] [2] [14] [17] [16] [19] [10]

Contents (PDF format)

Bibliography

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Received November 21, 1991

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